2564820910080 has 2880 divisors, whose sum is σ = 11685972549888. Its totient is φ = 529992253440.

The previous prime is 2564820910049. The next prime is 2564820910117. The reversal of 2564820910080 is 800190284652.

2564820910080 is a `hidden beast` number, since 2 + 5 + 6 + 482 + 0 + 91 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48392847334 + ... + 48392847386.

Almost surely, 2^{2564820910080} is an apocalyptic number.

2564820910080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2564820910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842986274944).

2564820910080 is an abundant number, since it is smaller than the sum of its proper divisors (9121151639808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564820910080 is a wasteful number, since it uses less digits than its factorization.

2564820910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2564820910080 in words is "two trillion, five hundred sixty-four billion, eight hundred twenty million, nine hundred ten thousand, eighty".